Here, we use a hybrid method that combines a body-inclusive simulation and a spatially evolving body-exclusive simulation to study the stratified high-\(\)  far wake of a slender body for the first time. The Reynolds number is set to \(Re=U_\infty D/\nu =10^5\)  and two levels of stratification are used, \(\mbox{\textit {Fr}}= U_\infty /ND = 2\)  and 10. The simulation at \(\mbox{\textit {Fr}}=10\)  allows us to study the evolution of a weakly stratified wake in a domain that spans \(80D\) . Additionally, \(\mbox{\textit {Fr}}=2\)  is chosen because it is close to the critical Froude number for a 6:1 prolate spheroid \(Fr_c= (L/D)/\pi = 6/\pi \) . At the critical Froude number, the size of the separation region is strongly reduced by the lee waves [1]}. These choices also allow us to compare our results with the findings of [2]} (hereafter referred as CS20) regarding the stratified wake of a disk.
